2004/10/31 by Michael Gronau, M. Gronau, Enrico Lunghi +2 · 20 citations
Mathematics · Physics and Astronomy · #Algorithm #Alpha (finance) #Amplitude #Black Holes and Theoretical Physics #Combinatorics #Descriptive statistics #Geometry #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pi #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Statistics #Tree (set theory) #hep-ph
paper · pdf · doi:10.1016/j.physletb.2004.11.082
published in Physics Letters B 606(1-2), 95-102 (Elsevier BV) · 10 pages, 2 figures, small corrections, few references added, final version to appear in Phys. Lett. B
arxiv created 2004/12/02 · openalex publication_date 2004/12/13 · arxiv updated 2010/04/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Theoretical errors in the extraction of alpha from B -> pi+ pi-, rho+ rho-, rho pi decays are usually given in terms of upper bounds on alphaeff-alpha obtained from isospin or from SU(3) relations, where alphaeff is measured through CP asymmetries. We show that mild assumptions about magnitudes and strong phases of penguin and tree amplitudes (|P/T| < 1 and |delta| < pi/2) in B -> pi pi and B -> rho rho, imply alphaeff > alpha, thus reducing by a factor two the error in alpha. Similarly, the assumptions |p+-/t+-| < 1, |δ-| < pi/2 <|δ+| in B -> rho pi lead to a cancellation between two terms in alphaeff-alpha. Current data support these conditions.